Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16606i |
Isogeny class |
Conductor |
16606 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
657889599904 = 25 · 197 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -3 -2 -5 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4339,101069] |
[a1,a2,a3,a4,a6] |
Generators |
[17:172:1] |
Generators of the group modulo torsion |
j |
192100033/13984 |
j-invariant |
L |
0.9577076353156 |
L(r)(E,1)/r! |
Ω |
0.89072957177521 |
Real period |
R |
0.2687986527176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
874d1 |
Quadratic twists by: -19 |